<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
C) X is greater than or equal to 0
(Domain is all the x-values the line goes through)
Answer:
<u>The smaller angle measures 44° and the larger measures 136°</u>
Step-by-step explanation:
Let'e recall that supplementary angles are two angles whose sum is 180° degrees.
Smaller angle = x
Larger angle = 3x + 4
Therefore, we have:
x + 3x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44 ⇒ 3x + 4 = 136
<u>The smaller angle measures 44° and the larger measures 136°</u>
The third story, to get area you have to multiply length times width